{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ABCNN Visualizations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can better understand what features the ABCNN model is learning by looking at its attention distributions.\n",
    "\n",
    "The attention distributions for the ABCNN-1 blocks can help us to understand word and phrasal associations between sequences that the model is finding.\n",
    "\n",
    "First, we import the necessary modules for the visualizations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "% matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import string\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "from gensim.models import KeyedVectors\n",
    "from nltk.corpus import stopwords\n",
    "\n",
    "from model.attention.utils import manhattan\n",
    "from model.attention.utils import euclidean\n",
    "from model.attention.utils import cosine\n",
    "from model.attention.utils import compute_attention_matrix\n",
    "from model.attention.abcnn1 import ABCNN1Attention\n",
    "from model.attention.abcnn2 import ABCNN2Attention\n",
    "from model.blocks.abcnn1 import ABCNN1Block\n",
    "from model.blocks.abcnn2 import ABCNN2Block\n",
    "from model.blocks.abcnn3 import ABCNN3Block\n",
    "from model.convolution.conv import Convolution\n",
    "from model.model import Model\n",
    "from model.pooling.allap import AllAP\n",
    "from model.pooling.widthap import WidthAP\n",
    "from setup import read_config\n",
    "from setup import setup_word_vectors\n",
    "from setup import setup_dataset\n",
    "from setup import setup_embedding_matrix\n",
    "from setup import setup_block\n",
    "from setup import setup_model\n",
    "from setup import weights_init\n",
    "from setup import text_to_word_list\n",
    "from utils import load_checkpoint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Paths to necessary files\n",
    "CONFIG_FILE = \"config.json\"\n",
    "CHECKPOINT_FILE = \"checkpoints/gpu0/best_checkpoint\"\n",
    "EMBEDDINGS_FILE = \"/home/cody/fastText/word_vector_from_tickets_skipgram_dim300_subword_min2_max6_rename.bin\"\n",
    "\n",
    "# Move operations to GPU if one is available\n",
    "USE_CUDA = torch.cuda.is_available() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to generate the heat maps faithfully, we'll need to load the pre-trained word2vec model (so we can access its vocabulary) and the set of stop words we used (so we can clean the input sequences)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For this Notebook, we'll use a pre-trained ABCNN-3 models. We will also need to load in the datasets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "config = read_config(CONFIG_FILE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loading FastText word vectors from: /home/cody/fastText/word_vector_from_tickets_skipgram_dim300_subword_min2_max6_rename.bin\n"
     ]
    }
   ],
   "source": [
    "# Get pre-trained word embeddings\n",
    "# (Get a cup of coffee, this'll take about 10 minutes)\n",
    "word_vectors = setup_word_vectors(config)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 283003/283003 [04:14<00:00, 1113.43it/s]\n",
      "100%|██████████| 80049/80049 [01:13<00:00, 1086.12it/s]\n",
      "100%|██████████| 41238/41238 [00:38<00:00, 1073.44it/s]\n"
     ]
    }
   ],
   "source": [
    "# Load datasets\n",
    "data_paths = config[\"data_paths\"]\n",
    "embeddings_size = config[\"embeddings\"][\"size\"]\n",
    "max_length = config[\"model\"][\"max_length\"]\n",
    "datasets = {name: pd.read_csv(data_path) for name, data_path in data_paths.items()}\n",
    "for name, dataset in datasets.items():\n",
    "    dataset, examples = setup_dataset(dataset, word_vectors, embeddings_size, max_length)\n",
    "    datasets[name] = dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Creating the ABCNN model...\n"
     ]
    }
   ],
   "source": [
    "# Create the model\n",
    "model = setup_model(config)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Overwrite model weights with pre-trained weights\n",
    "state = load_checkpoint(CHECKPOINT_FILE)\n",
    "model_dict, optim_dict, _, _ = state\n",
    "model.load_state_dict(model_dict)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "blocks.0.attn1.W1 <class 'torch.Tensor'> torch.Size([15, 300])\n",
      "blocks.0.conv.conv.weight <class 'torch.Tensor'> torch.Size([50, 2, 3, 300])\n",
      "blocks.0.conv.conv.bias <class 'torch.Tensor'> torch.Size([50])\n",
      "blocks.1.attn1.W1 <class 'torch.Tensor'> torch.Size([15, 50])\n",
      "blocks.1.conv.conv.weight <class 'torch.Tensor'> torch.Size([50, 2, 3, 50])\n",
      "blocks.1.conv.conv.bias <class 'torch.Tensor'> torch.Size([50])\n",
      "fc.weight <class 'torch.Tensor'> torch.Size([2, 800])\n",
      "fc.bias <class 'torch.Tensor'> torch.Size([2])\n"
     ]
    }
   ],
   "source": [
    "# See how to access the weights\n",
    "for name, param in model.named_parameters():\n",
    "    print(name, type(param.data), param.size())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Make each of the blocks in the model\n",
    "block_configs = config[\"model\"][\"blocks\"]\n",
    "block_1 = make_block(\"block.0.\", max_length, block_configs[0])\n",
    "block_2 = make_block(\"block.1.\", max_length, block_configs[1])   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Quora Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have the pre-trained model loaded and the datasets, the first thing we can do is inspect the attention matrices themselves for a few examples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "quora_examples = [\n",
    "    [\"If someone tried to kidnap me what should I do?\", \"What can I do if someone tried to kidnap me?\", 1],\n",
    "    [\"How do you write a better college essay?\", \"How do I write the best college application essay?\", 1],\n",
    "    [\"What are the best-kept secrets of models?\", \"What are the best-kept secrets of great database models?\", 0]\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 3/3 [00:00<00:00, 408.20it/s]\n"
     ]
    }
   ],
   "source": [
    "quora_dataset, quora_examples = setup_dataset(quora_examples, word_vectors, embeddings_size, max_length)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_block(block_prefix, max_length, block_config):\n",
    "    \"\"\" Helper function to create one of the blocks in the model. \"\"\"\n",
    "    # Create the block\n",
    "    block, output_size = setup_block(max_length, block_config)\n",
    "    block = block.eval() # Turn off dropout\n",
    "    block = block.cuda() if USE_CUDA else block # Put on GPU if available\n",
    "    \n",
    "    # Overwrite the block's weights\n",
    "    block_dict = block.state_dict()\n",
    "    for pre_name, weights in model_dict.items():\n",
    "        if block_prefix in pre_name:\n",
    "            name = pre_name.replace(name_prefix, \"\")\n",
    "            if name in block_dict:\n",
    "                block_dict[name] = weights\n",
    "    block.load_state_dict(block_dict)\n",
    "    return block"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_heat_map(A, xticks, yticks):\n",
    "    \"\"\" Generates a heat map for the attention matrix.\n",
    "    \n",
    "        Args:\n",
    "            A: torch.Tensor of shape (batch_size, 1, max_length, max_length)\n",
    "                The attention matrix.\n",
    "            xticks: list of string\n",
    "                The labels to use for the x-axis ticks.\n",
    "            yticks: list of string\n",
    "                The labels to use for the y-axis ticks.\n",
    "                \n",
    "        Returns:\n",
    "            None\n",
    "    \"\"\"\n",
    "    # Sanity checks\n",
    "    assert(A.shape[0] == len(xticks) and A.shape[1] == len(yticks))\n",
    "    \n",
    "    # Make plot bigger so its easier to read\n",
    "    plt.rcParams[\"figure.figsize\"] = 10, 10\n",
    "    \n",
    "    # Make x-ticks and label appear on top\n",
    "    plt.rcParams['xtick.bottom'] = plt.rcParams['xtick.labelbottom'] = False\n",
    "    plt.rcParams['xtick.top'] = plt.rcParams['xtick.labeltop'] = True\n",
    "    \n",
    "    # Plot the attention distribution\n",
    "    plt.imshow(A, cmap=\"rainbow\", interpolation=\"nearest\")\n",
    "    plt.xticks(range(len(xticks)), xticks, rotation=90)\n",
    "    plt.yticks(range(len(yticks)), yticks)\n",
    "    plt.colorbar()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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rT6DJhlwx9YvaiKxPcdene1UPnGl+NZIcTtPAurhG/CHpJE8DpiY6PafP35rHPV9Tkr156De386rqkp7jTb/fDP7s837bkUcH0Pzl+f0k2wN7VNXZPcTamqb/1gdoZj+fcnf1+xHnscRtYz9hdfur6j9HHbvPmAOxNwNuBQ6uqq/0HW99jLs+3eu6WrzlJrVs7+1HEivn/efEzDRvg0uSJHXGBtdwvlKUJEndCfbhGsInshaSLFkfYhp3/sY07vyNadz5G3OccdUdG1xrZxx/4Mf1P5lx52dM487fmMadvzHHGfeRcR6uGWxwSZIk9Wy96zS/2XZb1zaLfuURnXvfj+9is4Vbr/nADo0jpnHnb0zjzt+Yxp2/Mdc17p033sZ9t981snTQ4q02qWXP2nEksfKV6+00P1dts+hX+L2LPjLuakiSNBIf3+fPRhswTnw6jE9EkiSpZ+tdhkuSJPXMDNcMPhFJkqSemeGSJEndCRM3ZcMomOGSJEnqmRkuSZLUHUcpDuUTkSRJ6pkZLkmS1C37cM1ghkuSJKlnZrgkSVJ3gn24hpjoJ5LkmwPrH0pyVZIPjbNOkiRJ0010hquqnjOwuQR4TFWtGFd9JEla7yX24Rpi0jNc97Q/zwC2AC5Ocuh4ayVJkvRwE53hmlJVr0hyT1XtNWx/kiU0GTC23mnhSOsmSdJ6xz5cM6wXT6SqllbV4qpavNnCrcddHUmSNAJJTkxyW5IrV7E/ST6a5LoklyfZuy1/YZJLB5ZfJDmw3XdykhsG9g1N9kw3LzJckiRJQ5wM/B1wyir2vxTYpV2eBRwHPKuqvgbsBZDkMcB1wNkD5x1RVaeuTUVscEmSpO7MoY9XV9V5SRat5pBXAqdUVQEXJNkmyfZVdevAMYcAX6qq+9alLuvFK0VJkjQvbZdk2cCyZC3Pfxxw08D2zW3ZoNcAn5lWdnT7CvIjSTaZTaCJznBV1RbD1iVJ0riM9OPVt1fV4r4unmR7YA/grIHidwL/BWwMLAXeAbx3TdcywyVJktZXtwCPH9jesS2b8mrgtKp6YKqgqm6txnLgJGDf2QSywSVJkroz1YdrFMu6OwN4Qzta8dnAXdP6b72Waa8T26wXSQIcCAwdATndRL9SlCRJWpUknwH2p+nrdTNwJLARQFV9DPgi8DKaUYj3AW8aOHcRTfbr69Mu++kkC2malpcCb5tNXWxwSZKk7syhj1dX1WvXsL+AP1zFvhuZ2YGeqnrRI6nL3HgikiRJ85gZLkmS1KGRjlKcGD4RSZKknpnhkiRJ3QmwYG7MND+XmOGSJEnqmRkuSZLULftwzeATkSRJ6pkZLkmS1J2pmeb1MGa4JEmSemaDS5IkqWe+UpQkSR1y4tNhfCKSJEk9M8MlSZK6Y6f5ocxwSZIk9cwMlyRJ6tYC8znT+UQkSZJ6ZoZLkiR1J7EP1xBmuCRJknq2xgZXks2TnJnksiRXJjk0yf9KckmSK5KcmGST9tgbk3wgyaVJliXZO8lZSX6Q5G0D1zwiyUVJLk/ynoHyP29jXJnkT9uyRUm+m+QTSa5KcnaSR7X7npTk35NcnOT8JLt2/4gkSdKshWYerlEsE2Q2tT0A+FFVPb2qdgf+HTgZOLSq9qB5Lfn7A8f/sKr2As5vjzsEeDbwHoAkLwF2AfYF9gKemeT5SZ4JvAl4Vnv8W5M8o73mLsDfV9WvAncCB7flS4E/rqpnAocD/2/YDSRZ0jYAl93347tmccuSJEndmU0friuADyf5IPBvwM+AG6rq2nb/J4E/BP623T5j4Lwtqupu4O4ky5NsA7ykXS5pj9uCpkG1BXBaVd0LkOQLwPPa691QVZe2x18MLEqyBfAc4J+SX74r3mTYDVTVUprGGTss3qVmcc+SJOmRsg/XDGtscFXVtUn2Bl4GvB84Zw2nLG9/rhxYn9rekCbZ+IGq+vjgSUn+ZBbXBFgBPIomO3dnm02TJEmas2bTh2sH4L6q+hTwIeB/0mSYntwe8jvA19ci5lnAm9sMFUkel+RXaF5BHphksySbAwe1ZUNV1c+AG5L8VnudJHn6WtRDkiR1LWnm4RrFMkFm80pxD+BDSVYCD9D019qa5lXehsBFwMdmG7Cqzk6yG/Ct9lXgPcDrq+o7SU4GLmwPPb6qLkmyaDWX+23guCT/B9gI+Cxw2WzrIkmSNAqzeaV4Fk1WarpnDDl20cD6yTSd5oftOxY4dsj5fwP8zbSyG4HdB7aPGVi/gaZTvyRJmivswzXDZOXjJEmSJpAzzUuSpO5MzcOlh/GJSJIk9cwGlyRJUs98pShJkrq1wE7z05nhkiRJ6pkZLkmS1J3ETvND+EQkSZJ6ZoZLkiR1yz5cM5jhkiRJ6pkZLkmS1B0nPh3KJyJJktQzM1ySJKlDsQ/XEGa4JEmSemaGS5Ikdcc+XEP5RCRJknpmhkuSJHXLPlwzmOGSJEnqmRkuSZLUHb+lOJRPRJIkqWc2uCRJkno2tgZXkm2S/MFq9n9zLa93VJLD171mkiRpnSzIaJYJMs4M1zbAjAZXkg0Bquo5I6+RJElSD8bZaf6vgScluRR4APgF8FNgV+ApSe6pqi0AkhwBvBrYBDitqo5sy/8SeCNwG3ATcPHI70KSJD3EiU+HGmeD6y+A3atqryT7A2e22zcMHpTkJcAuwL40/xnPSPJ84F7gNcBeNPfxHVbR4EqyBFgCsPVOC3u5GUmSpFWZS9NCXDi9sdV6Sbtc0m5vQdMA25Im23UfQJIzVnXhqloKLAXYYfEu1WWlJUnSoMnrXzUKc6nBde8qygN8oKo+/rDC5E/7r5IkSdK6G+dL1rtpslRrchbw5iRT/bkel+RXgPOAA5M8KsmWwG/2V1VJkjQrARYsGM0yQcaW4aqqO5L8R5IrgZ8D/72K485OshvwrSQA9wCvr6rvJPkccBlNp/mLRlR1SZKktTLWV4pV9brV7NtiYP1Y4NghxxwNHN1P7SRJ0iOygX24ppusfJwkSdIEmkud5iVJ0qRLJq5/1Sj4RCRJknpmhkuSJHXLebhmMMMlSZLmpSQnJrmtnRFh2P4k+WiS65JcnmTvgX0rklzaLmcMlD8xybfbcz6XZOPZ1MUGlyRJ6k5oRimOYlmzk4EDVrP/pTRfr9mF5hOAxw3s+3lV7dUurxgo/yDwkap6Ms03oN8ym4rY4JIkSfNSVZ0H/GQ1h7wSOKUaFwDbJNl+VQenmRD0RcCpbdEngQNnUxcbXJIkaVJtl2TZwLJkLc9/HHDTwPbNbRnApu01L0gy1ajaFrizqh4ccvxq2WlekiR1a3TTQtxeVYt7uvYTquqWJDsD5yS5ArjrkV7MDJckSVpf3QI8fmB7x7aMqpr6eT1wLvAM4A6a144bTj9+TWxwSZKk7iSsXDCapQNnAG9oRys+G7irqm5N8ugkmzS3k+2A5wJXV1UBXwMOac9/I3D6bAL5SlGSJM1LST4D7E/T1+tm4EhgI4Cq+hjwReBlwHXAfcCb2lN3Az6eZCVNcuqvq+rqdt87gM8meT9wCXDCbOpig0uSJHWmgJVz5NM+VfXaNewv4A+HlH8T2GMV51wP7Lu2dZkbT0SSJGkeM8MlSZI61VH/qnnFDJckSVLPzHBJkqTOVMKKDcznTOcTkSRJ6pkZLkmS1Cn7cM1khkuSJKlnZrgkSVJ3AjVH5uGaSybqiSTZJskfjLsekiRJa2PSMlzbAH8A/L9xV0SSJM3UzDRvH67pJq3B9dfAk5JcCny5LXspzX/f91fV58ZWM0mSpFWYqFeKwF8AP6iqvYALgL2ApwO/BnwoyfbDTkqyJMmyJMvu+/Fdo6utJEkSk9fgGrQf8JmqWlFV/w18Hdhn2IFVtbSqFlfV4s0Wbj3SSkqStF5JWLlgNMskmeQGlyRJ0kSYtAbX3cCW7fr5wKFJNkiyEHg+cOHYaiZJktpO8wtGskySieo0X1V3JPmPJFcCXwIuBy6j+e/7v6vqv8ZaQUmSpCEmqsEFUFWvm1Z0xFgqIkmShpq0/lWjMFn5OEmSpAk0cRkuSZI0d1XCipjPmc4nIkmS1DMzXJIkqVP24ZrJDJckSVLPzHBJkqROmeGayQyXJElSz8xwSZKkzlSgJmwW+FHwiUiSJPXMDJckSepQ7MM1hBkuSZKkntngkiRJ6pmvFCVJUncCK+00P4NPRJIkqWdmuCRJUmcKWBk7zU9nhkuSJKlnZrgkSVKnnBZiJjNckiRJPTPDJUmSOlOJoxSH8IlIkiT1zAyXJEnq1ApHKc7QeYYryaIkV04rW5zko6s4/sYk23VdD0mSpLliJBmuqloGLBtFLEmSND6FM80P0+sTSbJzkkuSHJHk39qybZOcneSqJMcDacsXJflukk+0+85O8qh231uTXJTksiT/nGSztvzkJB9LsizJtUle3uf9SJIkPRK9NbiSPBX4Z+Aw4KKBXUcC36iqXwVOA3Ya2LcL8PftvjuBg9vyL1TVPlX1dOC7wFsGzlkE7Av8BvCxJJsOqcuStlG27L4f39XF7UmSpKFCZTTLJOmrwbUQOB347aq6bNq+5wOfAqiqM4GfDuy7oaoubdcvpmlMAeye5PwkVwC/DfzqwDmfr6qVVfV94Hpg1+mVqaqlVbW4qhZvtnDrdbw1SZKktdNXH667gB8C+wFXr8V5ywfWVwCPatdPBg6sqsuSHAbsP3BcTbvG9G1JkjQqcab5YfrKcN0PHAS8Icnrpu07D3gdQJKXAo+exfW2BG5NshFNhmvQbyVZkORJwM7ANetUc0mSpI711oerqu4FXg78GbDVwK73AM9PchXwKppM2Jr8FfBt4D+A703b90PgQuBLwNuq6hfrWHVJkqROdf5KsapuBHZv1+8E9ml3ndGW3QG8ZMipt0+d1x53zMD6ccBxqwj5lap62zpXXJIkrbMCVsZpIabziUiSJPVsoj/tU1WHjbsOkiTp4ew0P5MZLkmSpJ5NdIZLkiTNMQkrJ2xS0lEwwyVJktQzM1ySJKkzBazw49Uz+EQkSZJ6ZoZLkiR1yj5cM5nhkiRJ6pkZLkmS1JlmpnkzXNOZ4ZIkSeqZGS5JktSdhHKU4gw+EUmSNC8lOTHJbUmuXMX+JPlokuuSXJ5k77Z8ryTfSnJVW37owDknJ7khyaXtstds6mKGS5IkdWoO9eE6Gfg74JRV7H8psEu7PAs4rv15H/CGqvp+kh2Ai5OcVVV3tucdUVWnrk1FbHBJkqR5qarOS7JoNYe8Ejilqgq4IMk2SbavqmsHrvGjJLcBC4E7V3WhNfGVoiRJmlTbJVk2sCxZy/MfB9w0sH1zW/ZLSfYFNgZ+MFB8dPuq8SNJNplNIDNckiSpMyOeFuL2qlrc18WTbA/8A/DGqlrZFr8T+C+aRthS4B3Ae9d0LTNckiRpfXUL8PiB7R3bMpJsBZwJ/GVVXTB1QFXdWo3lwEnAvrMJZINLkiR1amUykqUDZwBvaEcrPhu4q6puTbIxcBpN/66HdY5vs14kCXAgMHQE5HS+UpQkSfNSks8A+9P09boZOBLYCKCqPgZ8EXgZcB3NyMQ3tae+Gng+sG2Sw9qyw6rqUuDTSRYCAS4F3jabutjgkiRJnamElZkbL9Cq6rVr2F/AHw4p/xTwqVWc86JHUpe58UQkSZLmsTnb4EqyKMn32hldr03y6SS/luQ/knw/yb5JNm9nkb0wySVJXjnuekuStL6boD5cIzPXXyk+Gfgt4M3ARcDrgP2AVwDvAq4GzqmqNyfZBrgwyVeq6t7Bi7TzciwB2HqnhSOsviRJ0txvcN1QVVcAJLkK+GpVVZIrgEU0wzdfkeTw9vhNgZ2A7w5epKqW0syVwQ6Ld6kR1V2SpPVOASsWTFb2aRTmeoNr+cD6yoHtlTR1XwEcXFXXjLpikiRJszVn+3DN0lnAH7dzYZDkGWOujyRJ67d2lOIolkkyWbWd6X0082lc3r5yfN+Y6yNJkjTDnH2lWFU3ArsPbB+2in2/N8p6SZKk1asJG0E4CpOe4ZIkSZrz5myGS5IkTZ4CVmKGazozXJIkST2zwSVJktQzXylKkqROTdpnd0bBDJckSVLPzHBJkqQOZeImJR0Fn4gkSVLPzHBJkqTOFPbhGsYMlyRJUs/McEmSpO4EVpi4IijqAAAeQklEQVThmsEMlyRJUs/McEmSpM7Yh2s4M1ySJEk9M8MlSZI6FFaaz5nBJyJJktQzM1ySJKlTZR+uGcxwSZIk9cwMlyRJ6oyjFIczwyVJktQzG1ySJEk9m5OvFJPcU1VbrMXx+wP3V9U3+6uVJEmajZX4SnG6+ZLh2h94zrgrIUmSNMxYGlxJjkjy9nb9I0nOaddflOTT7frRSS5LckGSx7Zlv5nk20kuSfKVJI9Nsgh4G/BnSS5N8rxx3JMkSYIirMyCkSyTZFy1PR+YahgtBrZIslFbdh6wOXBBVT293X5re+w3gGdX1TOAzwL/u6puBD4GfKSq9qqq86cHS7IkybIky+778V193pckSdIM4+rDdTHwzCRbAcuB79A0vJ4HvB24H/i3gWNf3K7vCHwuyfbAxsANswlWVUuBpQA7LN6lOroHSZI0hH24ZhpLhquqHqBpLB0GfJMm4/VC4MnAd4EHqmqqYbSChxqG/xf4u6raA/g9YNMRVluSJOkRGecoxfOBw4E3A1cAfwNcXFWVVU+YtjVwS7v+xoHyu4GteqqnJEmapYoTnw4zzh5n5wPbA9+qqv8GftGWrc5RwD8luRi4faD8X4GD7DQvSZLmorFluKrqq8BGA9tPGVjfYmD9VODUdv104PQh17oW2LPP+kqSpNlZYR+uGSZrTKUkSdIEmpMzzUuSpMnUzMNlhms6M1ySJEk9M8MlSZI6VfbhmsEMlyRJUs/McEmSpE5N2ncOR8EnIkmS1DMbXJIkST3zlaIkSepM4cerhzHDJUmS1DMzXJIkqUMxwzWEGS5JkqSemeGSJEmdMsM1kxkuSZKknpnhkiRJnSlghR+vnsEMlyRJUs/McEmSpE7Zh2smM1ySJEk9M8MlSZI6U4SV5nNm8IlIkiT1zAyXJEnqVNmHa4aRZLiS3Jhku46udc8qyk9OckgXMSRJ0uRLcmKS25JcuYr9SfLRJNcluTzJ3gP73pjk++3yxoHyZya5oj3no8ns5sDwlaIkSerUyvZ7in0vs3AycMBq9r8U2KVdlgDHASR5DHAk8CxgX+DIJI9uzzkOeOvAeau7/i913uBKsnmSM5NcluTKJIe2u/44yXfaVuGu7bGPSfIvbavygiR7tuVHJTl84JpXJlk0LU6S/F2Sa5J8BfiVru9FkiRNrqo6D/jJag55JXBKNS4AtkmyPfDrwJer6idV9VPgy8AB7b6tquqCqirgFODA2dSljwzXAcCPqurpVbU78O9t+e1VtTdNy3CqMfUe4JKq2hN4F03FZ+sg4KnA04A3AM9Z1YFJliRZlmTZfT++a+3uRpIkzVox0gzXdlP/vrfLkrWs7uOAmwa2b27LVld+85DyNeqj0/wVwIeTfBD4t6o6v329+YV2/8XAq9r1/YCDAarqnCTbJtlqlnGeD3ymqlYAP0pyzqoOrKqlwFKAHRbvUmt7Q5IkaU66vaoWj7sSs9F5hquqrgX2pml4vT/Ju9tdy9ufK1hzQ+/BaXXbtNNKSpIkwS3A4we2d2zLVle+45DyNeqjD9cOwH1V9SngQzSNr1U5H/jt9rz9aVqqPwNunDqvHTHwxCHnngccmmSD9p3qC7u6B0mS9MjNoU7za3IG8Ia2X/izgbuq6lbgLOAlSR7ddpZ/CXBWu+9nSZ7djk58A3D6bAL18UpxD+BDSVYCDwC/D5y6imOPAk5McjlwHzA17PKfaR7AVcC3gWuHnHsa8CLgauCHwLe6ugFJkjT5knwG2J+mr9fNNCMPNwKoqo8BXwReBlxH0w55U7vvJ0neB1zUXuq9VTXV+f4PaEY/Pgr4UrusUecNrqo6i6ZlOGjRwP5lNDdPW/kZvfur6uc0rclh19+i/VnAH3VRZ0mS1I0irJgjE59W1WvXsL+AP1zFvhOBE4eULwN2X9u6OA+XJElSz/y0jyRJ6pSf9pnJDJckSVLPzHBJkqROdTSCcF4xwyVJktQzM1ySJKkzBawoM1zTmeGSJEnqmRkuSZLUKftwzWSGS5IkqWdmuCRJUmeKOA/XEGa4JEmSemaGS5IkdWql+ZwZfCKSJEk9s8ElSZLUM18pSpKkTq104tMZzHBJkiT1zAyXJEnqTAErnBZiBjNckiRJPTPDJUmSOhTKPlwzmOGSJEnqmRkuSZLUmcKPVw8zrzJcSb457jpIkiRNN68yXFX1nHHXQZKk9VrBCvtwzTDfMlz3jLsOkiRJ082rDNeqJFkCLAHYeqeFY66NJEnzl324hptXGa5VqaqlVbW4qhZvtnDrcVdHkiStZ9aLDJckSRod5+Gaab3IcEmSJI2TGS5JktSh2IdriHmV4aqqLcZdB0mSpOnmVYNLkiRpLvKVoiRJ6kwBK+00P4MZLkmSpJ6Z4ZIkSZ3y0z4zmeGSJEnqmRkuSZLUqXJaiBnMcEmSJPXMDJckSeqMoxSHM8MlSZLUMzNckiSpOxVHKQ5hhkuSJKlnZrgkSVJnmj5c467F3GOGS5IkqWdmuCRJUqfKPlwzmOGSJEnqmRkuSZLUGefhGs4MlyRJUs9scEmSJPXMV4qSJKlTK/149QxmuCRJknpmhkuSJHWmwE/7DDGRGa4kRyU5fNz1kCRJmg0zXJIkqTsVJz4dYmIyXEn+Msm1Sb4BPLUt2yvJBUkuT3JakkePuZqSJEkzTESDK8kzgdcAewEvA/Zpd50CvKOq9gSuAI5cxflLkixLsuy+H981iipLkrTeWrkyI1kmyUQ0uIDnAadV1X1V9TPgDGBzYJuq+np7zCeB5w87uaqWVtXiqlq82cKtR1NjSZKkln24JElSZxylONykZLjOAw5M8qgkWwK/CdwL/DTJ89pjfgf4+qouIEmSNC4TkeGqqu8k+RxwGXAbcFG7643Ax5JsBlwPvGlMVZQkSQDlx6uHmYgGF0BVHQ0cPWTXs0ddF0mSNBmSHAAcC2wAHF9Vfz1t/xOAE4GFwE+A11fVzUleCHxk4NBdgddU1b8kORl4ATA1Eu+wqrp0dfWYmAaXJEmaDHNlHq4kGwB/D7wYuBm4KMkZVXX1wGHHAKdU1SeTvAj4APA7VfU1mtkRSPIY4Drg7IHzjqiqU2dbl0npwyVJkrS29gWuq6rrq+p+4LPAK6cd8zTgnHb9a0P2AxwCfKmq7nukFbHBJUmSOlOElTWaBdhuap7NdlkyrTqPA24a2L65LRt0GfCqdv0gYMsk20475jXAZ6aVHd1OvP6RJJus6bnY4JIkSZPq9ql5Nttl6SO4xuHAC5JcQtMv6xZgxdTOJNsDewBnDZzzTpo+XfsAjwHesaYg9uGSJEnz1S3A4we2d2zLfqmqfkSb4UqyBXBwVd05cMiraSZff2DgnFvb1eVJTqJptK2WGS5JktSplTWaZRYuAnZJ8sQkG9O8Gjxj8IAk2yWZag+9k2bE4qDXMu11Ypv1IkmAA4Er11QRG1ySJGleqqoHgT+ieR34XeDzVXVVkvcmeUV72P7ANUmuBR7LwBRUSRbRZMimT6z+6SRX0HzHeTvg/Wuqi68UJUlSZ6pgxRz6sHRVfRH44rSydw+snwoMnd6hqm5kZid7qupFa1sPM1ySJEk9M8MlSZI6NVcmPp1LzHBJkiT1zAyXJEnqlB+vnskMlyRJUs/McEmSpM4Uc2uU4lxhhkuSJKlnZrgkSVJ3HvqwtAaY4ZIkSeqZGS5JktSZAmrluGsx95jhkiRJ6pkZLkmS1Cn7cM00pzNcSRYluXLc9ZAkSVoXvTe4kmycZPOOr7l5ko26vKYkSVJfemtwJdktyYeBa4CntGU3JtmuXV+c5Nx2/agkJyY5N8n1Sd4+5Ho7J7kkyT7t9a5NckyS3fq6B0mStJYKVq7MSJZJ0mmDq808vSnJN4BPAFcDe1bVJbM4fVfg14F9gSMHM1hJngr8M3BYVV3UXm9P4HvA8Um+0cYdmklLsiTJsiTL7vvxXet2k5IkSWup607ztwKXA79bVd9by3PPrKrlwPIktwGPbcsXAqcDr6qqq6cOrqq7geNpGly7AScAxwJbTb9wVS0FlgLssHiXWst6SZKkWSpghZ3mZ+j6leIhwC3AF5K8O8kTpu1/cCDmptP2LR9YX8FDjcG7gB8C+00P1naqPxI4DbipjS9JkjSndJrhqqqzgbOTbAu8Hjg9ye00Ga8bgRuBZwJfAg6e5WXvBw4CzkpyT1X9Y5JFNNmt7YCTgOdW1R0d3ookSXqEasL6V41CL/NwtY2fY4Fjk+xLk7ECeA9wQpL3AeeuxfXuTfJy4MtJ7gEuAd5VVRd2W3NJkqTu9T7x6WCjqKrOpx2xOO2Yo6Zt7z6wuXtbdiewz0D5TZ1WVJIkrbMCVtpbeoY5PfGpJEnSfOCnfSRJUncqrLAP1wxmuCRJknpmhkuSJHWmYOJmgR8FM1ySJEk9M8MlSZI6Vc40P4MZLkmSpJ6Z4ZIkSd0pWLly3JWYe8xwSZIk9cwGlyRJUs98pShJkjrjtBDDmeGSJEnqmRkuSZLUncJP+wxhhkuSJKlnZrgkSVJnitiHawgzXJIkST0zwyVJkjpVTnw6gxkuSZKknpnhkiRJ3SlY4cerZzDDJUmS1DMzXJIkqTPOND/cnM5wJVmU5Mpx10OSJGld9J7hSrIxsFFV3dvhNTcH7q+qB7q6piRJ6sZKRynO0FuGK8luST4MXAM8pS27Mcl27friJOe260clOTHJuUmuT/L2IdfbOcklSfZpr3dtkmOS7NbXPUiSJHWh0wxXm3l6NfCWtugk4KiqunsWp+8KvBDYErgmyXED130q8FngsKq6rC3bEzgUOD5JAScAnx+WSUuyBFgCsPVOCx/h3UmSpDUqKPtwzdD1K8VbgcuB362q763luWdW1XJgeZLbgMe25QuB04FXVdXVUwe3jbjjaRpcu9E0uI4Ftpp+4apaCiwF2GHxLrWW9ZIkSVonXb9SPAS4BfhCkncnecK0/Q8OxNx02r7lA+sreKgxeBfwQ2C/6cHaTvVHAqcBN7XxJUmS5pROM1xVdTZwdpJtgdcDpye5nSbjdSNwI/BM4EvAwbO87P3AQcBZSe6pqn9Msogmu7UdzWvL51bVHR3eiiRJegScFmK4XkYpto2fY4Fjk+xLk7ECeA9wQpL3AeeuxfXuTfJy4MtJ7gEuAd5VVRd2W3NJkqTu9T4txGCjqKrOpx2xOO2Yo6Zt7z6wuXtbdiewz0D5TZ1WVJIkrbuCFU4LMcOcnvhUkiRpPvDTPpIkqTNF7MM1hBkuSZKknpnhkiRJ3SmoFWa4pjPDJUmS1DMzXJIkqTOFoxSHMcMlSZLUMzNckiSpU45SnMkMlyRJmreSHJDkmiTXJfmLIfufkOSrSS5Pcm6SHQf2rUhyabucMVD+xCTfbq/5uSQbr6keNrgkSVJ3ClauHM2yJkk2AP4eeCnwNOC1SZ427bBjgFOqak/gvcAHBvb9vKr2apdXDJR/EPhIVT0Z+CnwljXVxQaXJEmar/YFrquq66vqfuCzwCunHfM04Jx2/WtD9j9MkgAvAk5tiz4JHLimitjgkiRJncrKjGQBtkuybGBZMq0qj+Ph316+uS0bdBnwqnb9IGDLJNu225u2170gyVSjalvgzqp6cDXXnMFO85IkaVLdXlWL1/EahwN/l+Qw4DzgFmBFu+8JVXVLkp2Bc5JcAdz1SILY4JIkSfPVLcDjB7Z3bMt+qap+RJvhSrIFcHBV3dnuu6X9eX2Sc4FnAP8MbJNkwzbLNeOaw/hKUZIkdadggxUZyTILFwG7tKMKNwZeA5wxeECS7ZJMtYfeCZzYlj86ySZTxwDPBa6uqqLp63VIe84bgdPXVBEbXJIkaV5qM1B/BJwFfBf4fFVdleS9SaZGHe4PXJPkWuCxwNFt+W7AsiSX0TSw/rqqrm73vQP48yTX0fTpOmFNdfGVoiRJ6kyABXPo0z5V9UXgi9PK3j2wfioPjTgcPOabwB6ruOb1NCMgZ80MlyRJUs/McEmSpO5UWOCnfWYwwyVJktQzM1ySJKlTWbHmY9Y3czrDlWRRkivHXQ9JkqR10XuGq533YqOqurfDa24O3F9VD3R1TUmStO5SsIF9uGboLcOVZLckHwauAZ7Slt3YTh5GksXtrK0kOSrJiUnOTXJ9krcPud7OSS5Jsk97vWuTHJNkt77uQZIkqQudZrjazNOrgbe0RScBR1XV3bM4fVfghcCWNBOQHTdw3afSfOH7sKq6rC3bEzgUOD5J0Uw69vlhmbT2Y5ZLALbeaeEjvDtJkjQbc2kerrmi61eKtwKXA79bVd9by3PPrKrlwPIkt9HM9gqwkGbK/FcNzPBK24g7nqbBtRtNg+tYYKvpF66qpcBSgB0W71JrWS9JkqR10vUrxUNoPuD4hSTvTvKEafsfHIi56bR9ywfWV/BQY/Au4IfAftODtZ3qjwROA27ioe8aSZKkMUjBghUZyTJJOm1wVdXZVXUo8DyahtLpSb6SZFF7yI3AM9v1g2d52fuBg4A3JHkd/LKh9RXgX4A7gedW1aFVdXYnNyJJktShXkYpVtUdNK/3jk2yL03GCuA9wAlJ3gecuxbXuzfJy4EvJ7kHuAR4V1Vd2G3NJUnSuoqjFGfofVqIwUZRVZ1PO2Jx2jFHTdvefWBz97bsTmCfgfKbOq2oJElST+b0xKeSJEnzgZ/2kSRJnUnBBn7aZwYzXJIkST0zwyVJkjoUFthpfgYzXJIkST0zwyVJkrpTsMA+XDOY4ZIkSeqZGS5JktSZ4MSnw5jhkiRJ6pkZLkmS1B3n4RrKDJckSVLPzHBJkqTOBFiwcty1mHvMcEmSJPXMDJckSepOwYIVjlKczgyXJElSz8xwSZKkTsU+XDOY4ZIkSeqZGS5JktSZFGxgH64ZzHBJkiT1zAaXJElSz3ylKEmSOrXAT/vMMKczXEkWJbly3PWQJElaF71nuJJsDGxUVfd2eM3Ngfur6oGurilJktZdChastNP8dL1luJLsluTDwDXAU9qyG5Ns164vTnJuu35UkhOTnJvk+iRvH3K9nZNckmSf9nrXJjkmyW593YMkSVIXOs1wtZmnVwNvaYtOAo6qqrtncfquwAuBLYFrkhw3cN2nAp8FDquqy9qyPYFDgeOTFHAC8PlhmbQkS4AlAFvvtPAR3p0kSZqN2Idrhq5fKd4KXA78blV9by3PPbOqlgPLk9wGPLYtXwicDryqqq6eOrhtxB1P0+DajabBdSyw1fQLV9VSYCnADot3qbWslyRJ0jrp+pXiIcAtwBeSvDvJE6btf3Ag5qbT9i0fWF/BQ43Bu4AfAvtND9Z2qj8SOA24qY0vSZLGpcIGK0azTJJOG1xVdXZVHQo8j6ahdHqSryRZ1B5yI/DMdv3gWV72fuAg4A1JXge/bGh9BfgX4E7guVV1aFWd3cmNSJIkdaiXUYpVdQfN671jk+xLk7ECeA9wQpL3AeeuxfXuTfJy4MtJ7gEuAd5VVRd2W3NJkrQuUs7DNUzv00IMNoqq6nzaEYvTjjlq2vbuA5u7t2V3AvsMlN/UaUUlSZJ64kzzkiSpUwtWjrsGc8+cnmlekiRpPjDDJUmSulOQCRtBOApmuCRJknpmhkuSJHUmwAaOUpzBDJckSVLPbHBJkiT1zFeKkiSpO058OpQZLkmSpJ6Z4ZIkSZ0JsMBpIWYwwyVJktQzM1ySJKk7BfHTPjOY4ZIkSeqZGS5JktQZJz4dzgyXJElSz8xwSZKk7pSjFIcxwyVJkuatJAckuSbJdUn+Ysj+JyT5apLLk5ybZMe2fK8k30pyVbvv0IFzTk5yQ5JL22WvNdXDDJckSerOHJppPskGwN8DLwZuBi5KckZVXT1w2DHAKVX1ySQvAj4A/A5wH/CGqvp+kh2Ai5OcVVV3tucdUVWnzrYuZrgkSdJ8tS9wXVVdX1X3A58FXjntmKcB57TrX5vaX1XXVtX32/UfAbcBCx9pRWxwSZKkzjQzzY9mAbZLsmxgWTKtOo8DbhrYvrktG3QZ8Kp2/SBgyyTbPuyekn2BjYEfDBQf3b5q/EiSTdb0XOZ0gyvJoiRXjrsekiRpTrq9qhYPLEsfwTUOB16Q5BLgBcAtwC9fiibZHviH/7+9+w25u6zjOP7+3OEQZgPtDjEny2DlhuyJfwqKGD3QBWW2RRhETqgehPQoqBW4NZOe2INFEaw5QSxCrJigMkc1ygfSlJHDdGvJStegzLQ02Nr49uD8bjud+8yz1e/azu69X3C4f3+v33XuR18+1/W7DnBbVc0t6boBuAq4DrgE+PKkhzSfw5VkEXBBVb3eY5uLgWNV9a++2pQkST2YrrcUDwNXDO0v7Y69oRsuXAuQ5CJg3dw8rSRLgIeBr1XVE0P3HOk2jya5l0HR9qaaJVxJViT5FrAfeHd37FCS2W772iS7u+1NSbZ3bwc8n+SLY9p7V5K9Sa7r2juQ5O4kK1p9B0mSdE7bAyxPcmUXAN0CPDR8QZLZJHP10AZge3d8EfBTBhPqHxy557Lub4CbgYmjcb0WXEkWJ7ktyePA94HfAquqau8p3H4VcCODCW4bk1ww1O57gB8D66tqT9feKuA5YFuSx7vnLj5Jvz4/N777z7+8+v99SUmSdE6oquPA7cBO4Fnggap6JsnmJDd1l60G9ic5AFwK3NUd/yTwQWD9mOUffpBkH7APmAW+MakvfQ8pHgGeBj5bVc+d5r0PV9VRBvHcnxl8aRi8EbADWDv8GmdV/QPYxqDgWgHcA2wBlow23I3pbgV4x7XL6zT7JUmSTtHcpPlpUVWPAI+MHLtjaPtBYN7yDlV1P3D/Sdr80On2o+8hxU8wGBv9SZI7kiwbOX986JkXjpw7OrR9gv8Ug68CfwQ+MPqwblL9RgaR3wvd8yVJkqZKrwlXVT0GPNa9TvlpYEeSlxgkXoeAQ8A1wKPAulNs9hiD1zR3Jnmtqn6Y5J0M0q1Z4F7g/VX11x6/iiRJ+l9M0cKn06TJW4pd8bMF2NKtXTH3r/86cE+SO4Hdp9He60k+AuxK8hqwF/hqVf26355LkiT1r/myEMNFUVX9iu6NxZFrNo3sXz20e3V37BUG613MGV7ITJIkTQMTrrGmeuFTSZKkhcAfr5YkSb0JmaaFT6eGCZckSVJjJlySJKk/zuEay4RLkiSpMRMuSZLUm5hwjWXCJUmS1JgJlyRJ6pUJ13wmXJIkSY2ddwnXkacOvrRp5qN/ONv9kCTpDFl2Jh82mMPlOlyjzruCq6refrb7IEmSzi8OKUqSJDV23iVckiSpLSfNz2fCJUmS1JgJlyRJ6o8Ln45lwiVJktSYCZckSeqNP+0zngmXJElSYyZckiSpVyZc85lwSZIkNWbCJUmSeuNP+4xnwiVJktSYCZckSeqVc7jmM+GSJElqzIRLkiT1x3W4xjLhkiRJasyES5Ik9caV5scz4ZIkSWrMgkuSJKkxhxQlSVKvHFKcz4RLkiSpMRMuSZLUGyfNj2fCJUmS1JgJlyRJ6k/BzPGz3YnpY8IlSZLUmAmXJEnq1cyJnO0uTB0TLkmSpMZMuCRJUm98S3E8Ey5JkqTGTLgkSVKvTLjmM+GSJElqzIRLkiT1xjlc45lwSZIkNWbCJUmS+mPCNZYJlyRJUmMWXJIkSY05pChJknrlkOJ8JlySJEmNmXBJkqTeuCzEeCZckiRJjZlwSZKk/hTMHD/bnZg+JlySJEmNmXBJkqTeBOdwjWPCJUmS1JgJlyRJ6o9vKY5lwiVJkhasJGuS7E9yMMlXxpxfluRnSZ5OsjvJ0qFztyb5Xfe5dej4NUn2dW1+O0km9cOCS5Ik9WrmxJn5TJLkLcB3gQ8DK4FPJVk5ctndwH1VtQrYDHyzu/cSYCPwXuB6YGOSi7t7vgd8DljefdZM/J9M7q4kSdI56XrgYFU9X1XHgB8BHxu5ZiXw8277F0PnbwR2VdXLVfU3YBewJsllwJKqeqKqCrgPuHlSR5zDJUmSenOEp3ZuIrNn6HEXJnlyaH9rVW0d2r8ceGFo/0UGidWw3wBrgS3Ax4G3JnnbSe69vPu8OOb4m7LgkiRJvamqicNrU+ZLwHeSrAd+CRwGep/2b8ElSZIWqsPAFUP7S7tjb6iqPzFIuEhyEbCuql5JchhYPXLv7u7+pSPH/6vNcZzDJUmSFqo9wPIkVyZZBNwCPDR8QZLZJHP10AZge7e9E7ghycXdZPkbgJ1VdQT4e5L3dW8nfgbYMakjFlySJGlBqqrjwO0MiqdngQeq6pkkm5Pc1F22Gtif5ABwKXBXd+/LwJ0MirY9wObuGMAXgG3AQeD3wKOT+pLBBHtJkiS1YsIlSZLUmAWXJElSYxZckiRJjVlwSZIkNWbBJUmS1JgFlyRJUmMWXJIkSY39GylwMpmHFktYAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    }
   ],
   "source": [
    "# Get initial inputs to model\n",
    "for example, (features, label) in zip(quora_examples, quora_dataset):\n",
    "    \n",
    "    # Reshape data to work with blocks\n",
    "    features = features.unsqueeze(0)\n",
    "    label = label.unsqueeze(0)\n",
    "    \n",
    "    # Get features for each question\n",
    "    x0_0 = features[:, 0, :, :].unsqueeze(1)\n",
    "    x1_0 = features[:, 1, :, :].unsqueeze(1)\n",
    "    x0_0 = x0_0.cuda() if USE_CUDA else x0_0\n",
    "    x1_0 = x1_0.cuda() if USE_CUDA else x1_0\n",
    "    \n",
    "    # Initial attention distribution\n",
    "    A_0 = compute_attention_matrix(x0_0, x1_0, euclidean)\n",
    "    A_0 = A_0.squeeze().cpu().numpy()\n",
    "    generate_heat_map(A_0, example[1], example[0])\n",
    "    _ = input(\"Press any key to continue...\")\n",
    "    \n",
    "    # Attention distribution after first block\n",
    "    x0_1, x1_1, a0_1, a1_1 = block_1(x0_0, x1_0)\n",
    "    A_1 = compute_attention_matrix(x0_1, x1_1, euclidean)\n",
    "    A_1 = A_1.squeeze().detach().cpu().numpy()\n",
    "    generate_heat_map(A_1, example[1], example[0])\n",
    "    _ = input(\"Press any key to continue...\")\n",
    "\n",
    "    x0_2, x1_2, a0_2, a1_2 = block_2(x0_1, x1_1)\n",
    "    A_2 = compute_attention_matrix(x0_2, x1_2, euclidean)\n",
    "    A_2 = A_2.squeeze().detach().cpu().numpy()\n",
    "    generate_heat_map(A_2, example[1], example[0])\n",
    "    _ = input(\"Press any key to continue...\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hulo Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are a few examples from the Hulo dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "hulo_examples = [\n",
    "    [\"how do I find a printer?\", \"The printer is not working. Looks to be offline.\", 1],\n",
    "    [\"How to connect to printer?\", \"I can't add the printer\", 1],\n",
    "    [\"How do I fix the keyboard of my mac\", \"VPN connection fail\", 0],\n",
    "    [\"My VPN is broken\", \"Can't log in with VPN\", 1]\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 4/4 [00:00<00:00, 542.25it/s]\n"
     ]
    }
   ],
   "source": [
    "hulo_dataset, hulo_examples = setup_dataset(hulo_examples, word_vectors, embeddings_size, max_length)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+C1X1tRHFHFfcSbrXSYw7A2n1oOqJ2dy1me30VOC3efK6NI+Natp7kmP39vlsz/pKcnNVnZHkMZ68b86wd4Df470OeWYbzbIGNwG3VdXQl8Lfze/ttz9iSL/H4/peHvX37x768EJ2PSK8qarWDztmE/cQ4H7g3Kr69ChijivuJN3rJMadiWVPOajWvWA0c5Ly2XtGvrnrxCREkiRp3y077KBa98LRTIbLZ74y8oSovbUvSZKkAU18QpRkuXHbF9O47Y1p3PbGNO4ct3Nz11G8xmDiEyJgXN+MkxR3ku510uJO0r1OWtxJutdJjKseEzPLTJIkzVCLN3dtxaDqgw5cVIcevHifvnbrtx7koAOP3Le439inLwPgG/Ugh2Tf4m6bwapJT2x/kIMPmH7cTI0+JsDU/H2PO5M/2wO27Xvcb+54kIXz9y3utw7e97hbtz3IQQv2Le68fZyPt3X7gxy0j3+2M/o9nnqQhfP2LW7NoC4+kz/bmRhH3Em61/017oPbbnuoqkbW6WWHH1TrXnT0SGLl0xtHPqi6FRWiQw9ezI++cOibi3+Hxf88nkz5nuePPoldMIPkbyaeGPYGI3uw6Cvj+bP9txNnkHnOwFO+Ovr7XbRpPL/H2w4ZS1hp1l32lXlDX+riSdLudYjae2eSJEkDakWFSJIkjYAVIkmSpPayQiRJkvoLrZ5lZoVIkiRNPCtEkiSpP2eZSZIktZsJkSRJmng+MpMkSYNxULUkSVJ7DbVClGQx8ImqWjrMOJIkaciCg6olSZLabBQJ0fwklyf5UpIbkyxM8oIk/5jk9iRXJ3lqku9OchtAkucnqSTHNO//JYlbMkqSNC5JZwzRKF5jMIqE6HnAZVX1vcAjwLnAB4Ffr6qTgS8AF1fVA8DBSQ4HXgKsA16S5Fjggap60n7rSZYnWZdk3dZvPTiC25AkSW01illm/1pVn2uObwOeCxxRVX/XnPsA8L+b478HTgdeCvwWcCadp5Y39TZaVauAVQBPO2xZDa33kiSpwzFEM7K163gHcMRerv0MnerQscA1wPOBM9hNQiRJkjRbxpHqPQp8LclLmvc/BeysFt0EnAf8n6qaAr4KvAq4eeS9lCRJu+zc3LWlY4jGtTDjTwPvbwZKbwTeDFBVm5KETqUIOonQ0VX1tfF0U5IkTYKhJkRVtQlY2vX+0q6PX7yHr3l21/Fv0RlLJEmSxsrNXSVJkuaMJGcmuTPJ3UnevpvPj03y183yPmuTHN2vTRMiSZLU3xwZQ5RkPnAZ8ErgJOCNSU7quexS4IPN8j7vAn673+2ZEEmSpP3JacDdVbWxqrYBHwZe03PNScDfNMd/u5vPv4MJkSRJ6m/nXmajeMGinYsvN6/lXT15FrC56/29zblunwfOaY7PBg5L8vS93d64ZplJkiTtyUNVtWwGX/+rwB8nOZ/OzPX76KyFuEcmRJIkaX9yH/DsrvdHN+e+rar+jaZClOQpwLlV9cjeGjUhkiRJA5gz0+5vBZ6X5Dl0EqE3AD/RfUGSRcBXm0We3wFc0a/ROXFnkiRJg6iq7cDbgBuALwMfqaovJXlXklc3l70MuDPJXcBRwG/2a9cKkSRJ6i/AvPFsq9Grqq4Hru85d1HX8UeBj06nzVYkRFMHFFueNjXyuNsXzB95TICvHzn6e/335+51LNrQHPF/x1PEfNq94/mr8cgzRv9nC7Bt4ej/kTvi/jH9/fnuGktcadZ9ZdwdaJdWJESSJGkE5sYYoqFo751JkiQNyAqRJEnqb+fWHS1lhUiSJE08K0SSJGkAc2YdoqFo751JkiQNyAqRJEnqzzFEkiRJ7WaFSJIkDWZee+so7b0zSZKkAc2ZClGSFcCWqrp03H2RJEk9EscQSZIktdlYE6Ikv5HkriQ3Ayc0516Q5B+T3J7k6iRPHWcfJUlS+40tIUpyCvAG4AXAq4BTm48+CPx6VZ0MfAG4eDw9lCRJ3xY6CzOO4jUG46wQvQS4uqq+UVVfB64FDgWOqKq/a675APDS3X1xkuVJ1iVZt23rQ6PpsSRJaqU5M6h6uqpqFbAK4IinnlJj7o4kSe3noOqh+Azw40kWJjkM+DHgceBrSV7SXPNTwN/tqQFJkqTZMLYKUVX9c5K/AD4PPADc2nz008D7kxwCbATePKYuSpKknZJWL8w41kdmVfWbwG/u5qMXj7ovkiRpcu23Y4gkSdKIOYZIkiSpvawQSZKk/nauQ9RS7b0zSZKkAVkhkiRJg5nnGCJJkqTWskIkSZL6SxxDJEmS1GZWiCRJ0mAcQyRJktReragQzf9WOPzB0ed283aMPOTY/D+3HjiWuP92/PaxxN3y9BpL3O/+1/ljibvgm6OPOTWeW2X7gvHElfZ7rkMkSZLUbiZEkiRp4rXikZkkSRq2OKhakiSpzawQSZKk/hxULUmS1G5WiCRJ0mAcQyRJktReVogkSVJ/bu4qSZLUbnO+QpTk76vqB8bdD0mSJp5jiMbHZEiSJA3b/lAh2lJVTxl3PyRJmmiuQyRJktRuc75CtCdJlgPLAQ456Jgx90aSpLZzL7M5qapWVdWyqlp28AFHjrs7kiRpP7bfVogkSdIIBZi339ZR+mrvnUmSJA1ozidEzjCTJEnD5iMzSZI0mPkOqpYkSWotK0SSJKm/xEHVkiRJbWaFSJIkDcaFGSVJktrLCpEkSeovOMtMkiSpzawQSZKkwbR4llkrEqIdBxZfP3JqDJHnjyEmPOWro/+GnJpfI48JsGjzeH6Pv+fL4ykLf/HlO8YS9/AHR/89dcgjIw8JwDe+azxxJc1trUiIJEnSkCVMOctMkiSpvawQSZKkvgqYavEYovbemSRJaqUkZya5M8ndSd6+m8+PSfK3SdYnuT3Jq/q1aYVIkiQNZC6MIUoyH7gM+BHgXuDWJNdW1Yauy/4r8JGqel+Sk4DrgcV7a9cKkSRJ2p+cBtxdVRurahvwYeA1PdcUcHhz/F3Av/Vr1AqRJEnanzwL2Nz1/l7gRT3XrABuTPKLwKHAy/s1akIkSZL6qoQd80f2YGlRknVd71dV1appfP0bgT+pqvck+X7gT5Msrao9LlpoQiRJkuaah6pq2R4+uw94dtf7o5tz3d4CnAlQVf+Q5GBgEfDAngI6hkiSJA1kal5G8urjVuB5SZ6TZAHwBuDanmvuAX4YIMkS4GDgwb01akIkSZL2G1W1HXgbcAPwZTqzyb6U5F1JXt1c9ivAf0zyeeDPgfOraq97UA39kVmSC4GfB54B/G5V/c40vvZPgE9U1UeH1D1JkjSIQM2RhRmr6no6U+m7z13UdbwBOH06bY5iDNFbgZdX1b0jiCVJkjRtQ02IkrwfOA74ZJIrgOdW1duays/XgWV0Kkf/pao+miTAe+kstrQZ2DbM/kmSpMF0tu4Y/8KMwzLU2ldV/RydxZB+EPhaz8fPBM4AzgJ2PkY7GzgBOAl4E/ADe2o7yfIk65Ks27b1odnuuiRJmiDjnHb/l816ABuSHNWceynw51W1A/i3JH+zpy9u1iNYBXDEU0/Z60ApSZI0QxloBth+a5yjo7Z2Hbf3d1iSJM15c2O4+C6fAV6fZH6SZ9J51CZJksasM4Zo3khe4zDXVqq+GvghYAOdRZX+YbzdkSRJk2DoCVFVLW4O/6R5UVXn91zzlObXorPYkiRJmmMcQyRJktRic+2RmSRJmoMqYUfaW0dp751JkiQNyIRIkiRNPB+ZSZKkgTioWpIkqcWsEEmSpIFYIZIkSWoxK0SSJKmvCtSYttUYhVYkRBXYvmDcvRidf3/ujpHHXPDEyEMCcPiD4/nL98gzxxJ2bN/H2xbW6GMeMp7S+7ZDxhJW0hzXioRIkiQNWxxDJEmS1GZWiCRJUn+BqRaPIWrvnUmSJA3ICpEkSeqrgKk4hkiSJKm1rBBJkqSBOMtMkiSpxawQSZKkvipxlpkkSVKbmRBJkqSJ5yMzSZI0kB1Ou5ckSWqvOVshSvKXwLOBg4GVVbVqzF2SJGliFe3eumPOJkTAz1TVV5MsBG5N8rGqenjnh0mWA8sBDj7kmHH1UZIktcBcToguTHJ2c/xs4HnAtxOipmK0CuC7nnZKjb57kiRNklAtHkM0JxOiJC8DXg58f1V9I8laOo/OJEmSZt2cTIiA7wK+1iRDJwIvHneHJEmaaHHrjnH4K+CAJF8Gfgf4xzH3R5IktdicrBBV1VbglePuhyRJ6ihgKnO1jjJz7b0zSZKkAc3JCpEkSZp7HEMkSZLUYlaIJElSfwlTLV6HyAqRJEmaeFaIJElSXwXsaPFeZu29M0mSpAGZEEmSpInnIzNJkjSQNg+qbkVCtPDrYemn54887u89Op4C29v+ZmrkMRd8Y+QhAXjkmTWWuM/4P+P5S7/gm6P/PgY4+LGxhB2LYz7f3n/QJe27ViREkiRpuDpbd7T3BwrHEEmSpIlnhUiSJPWXUE67lyRJai8rRJIkaSCOIZIkSWoxK0SSJKkvZ5lJkiS1nBUiSZI0ECtEkiRJLTarFaIk7wI+U1Wf3ss1LwO2VdXfz2ZsSZI0PJUwlfbWUWYtIUoyv6ouGuDSlwFbgIEToiQHVNX2fe2bJEnS3gyUECVZDPwVcBvwQuBLwJuADcBfAD8C/F6SM4FPVNVHk2wCPgD8GHAg8P8BTwA/B+xIch7wi8AdwPuBY5pw/6mqPptkBfBc4DjgHuCNM7tVSZI0E20eQzSdCtEJwFuaZOUK4K3N+Yer6oUATULU7aGqemGStwK/WlUXJHk/sKWqLm2+5kPAH1bVzUmOAW4AljRffxJwRlV9c99uT5Ikqb/pJESbq+qzzfH/Ai5sjv9iL19zVfPrbcA5e7jm5cBJ2ZV1Hp7kKc3xtXtKhpIsB5YDHDbvmN1dIkmSNJDpJES1h/eP7+Vrtja/7thLrHnAi6vqie6TTYK0x7arahWwCuAZByzr7ZskSZpFBeyY195HZtMZLn5Mku9vjn8CuHkfYz4GHNb1/kY6Y4kASPKCfWxXkiRNgCRnJrkzyd1J3r6bz/8wyeea111JHunX5nQSojuBX0jyZeCpwPum8bXdPg6c3XTyJXQevS1LcnuSDXQGXUuSpLmkmXY/itfeu5H5wGXAK+mMNX5jkpO6r6mq/1xVL6iqFwDvZdcQnj2aziOz7VV1Xs+5xT0dOL/reHHX8To60+2pqruAk3vaeX1vsKpaMY2+SZKkyXAacHdVbQRI8mHgNXRmvu/OG4GL+zXq1h2SJGkgNbpp94uSrOt6v6oZOwzwLGBz12f3Ai/aXSNJjgWeA/xNv4ADJURVtQlYOsi1kiRJM/RQVS2bhXbeAHy0qnb0u9AKkSRJ6quAKebELLP7gGd3vT+6Obc7bwB+YZBG27spiSRJaqNbgecleU6SBXSSnmt7L0pyIp1JYP8wSKNWiCRJ0kDmwtYdVbU9ydvo7GwxH7iiqr7UbDC/rqp2JkdvAD5cVQOtVWhCJEmS9itVdT1wfc+5i3rer5hOmyZEkiRpAOm7RtD+rL13JkmSNCArRJIkqa9ibowhGhYrRJIkaeK1okL0xGHFHS/tu+bSrHvnDVMjjwlw94tGf68LvjnykAAcsG08P4087d6BJiXMug0v2z6WuIvumT/6mF8Zz5/tH3/FnwPVDr896oCBHVaIJEmS2suESJIkTbxWPDKTJEnD5aBqSZKklrNCJEmSBhCmWlxHae+dSZIkDcgKkSRJGkg5hkiSJKm9rBBJkqS+nGUmSZLUciNPiJIsTvLFUceVJEkzM0VG8hqHfUqIkixIcuhsdiTJoUkOnM02JUmSBjGthCjJkiTvAe4Ejm/ObUqyqDlelmRtc7wiyRVJ1ibZmOTC3bR3XJL1SU5t2rsryaVJlszwviRJ0iwqwlTmjeQ1Dn2jNpWbNye5Gbgc2ACcXFXrB2j/ROAVwGnAxd0VoCQnAB8Dzq+qW5v2TgbuAFYnubmJO6uVKEmSpF6DzDK7H7gduKCq7phm+9dV1VZga5IHgKOa80cC1wDnVNWGnRdX1WPAajoJ0RJgDbASOLy34STLgeUACxceM81uSZKk6RrX+J5RGKQu9VrgPuCqJBclObbn8+1d7Rzc89nWruMd7ErAHgXuAc7oDdYMur4YuBrY3MT/DlVzW6eiAAAZu0lEQVS1qqqWVdWyBQctGuA2JEmSdq9vhaiqbgRuTPJ04DzgmiQP0akYbQI2AacAnwTOHTDuNuBs4IYkW6rqQ0kW06kOLQKuBE6vqoendTeSJGkoKu1eh2jghRmb5GQlsDLJaXQqPgCXAGuSvBtYO432Hk9yFvCpJFuA9cA7q+qWQduQJEmaDfu0UnV30lJVN9HMOOu5ZkXP+6Vdb5c25x4BTu06v3lf+iNJkjQTbt0hSZIGsmPCB1VLkiS1mhUiSZLUV2dhRitEkiRJrWWFSJIkDaQcQyRJktReVogkSdJAxrXx6ii0984kSZIGZIVIkiT1Vbi5qyRJUqtZIZIkSQOIFSJJkqQ2s0IkSZIGYoVIkiSpxawQSZKkvgrY4V5mkiRJ7WVCJEmSJp6PzCRJ0kAcVC1JktRiVogkSVJfRZhqcR2lvXcmSZI0oJEnREkWJ/niqONKkqSZKTKS1zjsU0KUZEGSQ2ezI0kOTXLgbLYpSZI0iGklREmWJHkPcCdwfHNuU5JFzfGyJGub4xVJrkiyNsnGJBfupr3jkqxPcmrT3l1JLk2yZIb3JUmSZtlUs8HrsF/j0Dchaio3b05yM3A5sAE4uarWD9D+icArgNOAi7srQElOAD4GnF9VtzbtnQzcAaxOcnMTd1YrUZIkSb0GmWV2P3A7cEFV3THN9q+rqq3A1iQPAEc1548ErgHOqaoNOy+uqseA1XQSoiXAGmAlcHhvw0mWA8sBFi48ZprdkiRJ01G4DtFrgfuAq5JclOTYns+3d7VzcM9nW7uOd7ArAXsUuAc4ozdYM+j6YuBqYHMT/ztU1aqqWlZVyxYctGiA25AkSdq9vhWiqroRuDHJ04HzgGuSPESnYrQJ2AScAnwSOHfAuNuAs4Ebkmypqg8lWUynOrQIuBI4vaoentbdSJKkoWlzhWjghRmb5GQlsDLJaXQqPgCXAGuSvBtYO432Hk9yFvCpJFuA9cA7q+qWQduQJEmaDfu0UnV30lJVN9HMOOu5ZkXP+6Vdb5c25x4BTu06v3lf+iNJkoarCDtaXCFypWpJkjTx3MtMkiQNZFyrSI+CFSJJkjTxrBBJkqSBtHmWmRUiSZI08UyIJEnSxPORmSRJ6quAHeUjM0mSpNayQiRJkgbioGpJkqQ5IsmZSe5McneSt+/hmtcl2ZDkS0k+1K9NK0SSJKmvInNiYcYk84HLgB8B7gVuTXJtVW3ouuZ5wDvobBT/tSTf3a9dK0SSJGl/chpwd1VtrKptwIeB1/Rc8x+By6rqawBV9UC/Rq0QSZKkgUzNjTrKs3jyZvD3Ai/queZ4gCSfBeYDK6rqr/bWqAmRJEmaaxYlWdf1flVVrZrG1x8APA94GXA08Jkk31dVj+ztCyRJkvqaGt06RA9V1bI9fHYf8Oyu90c357rdC/xTVX0L+Nckd9FJkG7dU8A5UfuSJEka0K3A85I8J8kC4A3AtT3X/CWd6hBJFtF5hLZxb41aIZIkSX0VsGMOzDKrqu1J3gbcQGd80BVV9aUk7wLWVdW1zWc/mmQDsAP4tap6eG/tmhBJkqT9SlVdD1zfc+6iruMCfrl5DcSESJIkDSCUe5lJkiS1lxUiSZLUV+FeZrMqyeIkXxx1XEmSpD3Zp4QoyYIkh85mR5IcmuTA2WxTkiRpENNKiJIsSfIe4E52LYu9qZnjT5JlSdY2xyuSXJFkbZKNSS7cTXvHJVmf5NSmvbuSXJpkyQzvS5IkzaaCHZWRvMahb0LUVG7enORm4HJgA3ByVa0foP0TgVfQ2Yjt4u4KUJITgI8B51fVrU17JwN3AKuT3NzE3W0lKsnyJOuSrNu29aEBuiJJkrR7gwyqvh+4Hbigqu6YZvvXVdVWYGuSB4CjmvNHAtcA51TVhp0XV9VjwGo6CdESYA2wEji8t+FmT5NVAEc89ZSaZr8kSdI0OKgaXktnj5CrklyU5Niez7d3tXNwz2dbu453sCsBexS4BzijN1gz6Ppi4Go6u9m+doA+SpIk7bO+FaKquhG4McnTgfOAa5I8RKditAnYBJwCfBI4d8C424CzgRuSbKmqDyVZTKc6tAi4Eji93zLbkiRpdNq8MOPA6xA1yclKYGWS0+hUfAAuAdYkeTewdhrtPZ7kLOBTSbYA64F3VtUtg7YhSZI0G/ZpYcbupKWqbqKZcdZzzYqe90u73i5tzj0CnNp1fvO+9EeSJA1bJn4MkSRJUqu5dYckSeqrgKkWjyGyQiRJkiaeFSJJkjSQca0iPQpWiCRJ0sSzQiRJkgZSzjKTJElqLytEkiSpL2eZSZIktZwJkSRJmng+MpMkSf1VnHYvSZLUZlaIJElSX51B1ePuxfBYIZIkSRPPCpEkSRpIOYZIkiSpvawQSZKkvlyYUZIkqeWsEEmSpIFMubmrJElSe1khkiRJfRW4UvVsSrI4yRdHHVeSJGlP9qlClGQBcGBVPT5bHUlyKLCtqr41W21KkqRZUnEdop2SLEnyHuBO4Pjm3KYki5rjZUnWNscrklyRZG2SjUku3E17xyVZn+TUpr27klyaZMkM70uSJGlgfStETeXmdcBbmlNXAiuq6rEB2j8R+EHgMODOJO/ravcE4MPA+VX1+ebcycDrgdVJClgDfGR3lagky4HlAAsXHjNAVyRJ0kxMTbW3QjTII7P7gduBC6rqjmm2f11VbQW2JnkAOKo5fyRwDXBOVW3YeXGTZK2mkxAtoZMQrQQO7224qlYBqwCOeOopLd5uTpIkDdsgj8xeC9wHXJXkoiTH9ny+vaudg3s+29p1vINdCdijwD3AGb3BmkHXFwNXA5ub+JIkSUPTt0JUVTcCNyZ5OnAecE2Sh+hUjDYBm4BTgE8C5w4YdxtwNnBDki1V9aEki+lUhxbReSx3elU9PK27kSRJQ9H2afcDzzJrkpOVwMokp9Gp+ABcAqxJ8m5g7TTaezzJWcCnkmwB1gPvrKpbBm1DkiRpNuzTtPvupKWqbqKZcdZzzYqe90u73i5tzj0CnNp1fvO+9EeSJA1ZubmrJElSq7l1hyRJGogLM0qSJLWYFSJJktRXEccQSZIktZkVIkmSNJCpFu8LYYVIkiRNPCtEkiSpryrY0eLNXa0QSZKkiWeFSJIkDcR1iCRJklrMCpEkSRqI6xBJkiS1mAmRJEmaeD4ykyRJfRVOu5ckSWo1K0SSJKm/cnNXSZKkVrNCJEmS+iqgpsbdi+GxQiRJkibeyCtESRYDn6iqpaOOLUmS9p1jiHokWZDk0NnsSJJDkxw4m21KkiQNYloJUZIlSd4D3Akc35zblGRRc7wsydrmeEWSK5KsTbIxyYW7ae+4JOuTnNq0d1eSS5MsmeF9SZKk2VQwNZWRvPpJcmaSO5PcneTtu/n8/CQPJvlc87qgX5t9H5k1laDXAW9pTl0JrKiqx/r2GE4EfhA4DLgzyfu62j0B+DBwflV9vjl3MvB6YHWSAtYAH6mqxweIJUmSWi7JfOAy4EeAe4Fbk1xbVRt6Lv2LqnrboO0OMobofuB24IKqumPQhhvXVdVWYGuSB4CjmvNHAtcA53TfQJNkraaTEC2hkxCtBA7vbTjJcmA5wMKFx0yzW5IkaToK2DE3xhCdBtxdVRsBknwYeA3QmxBNyyCPzF4L3AdcleSiJMf2fL69q52Dez7b2nW8g10J2KPAPcAZvcGSLE5yMXA1sLmJ/x2qalVVLauqZQsOWjTAbUiSpP3EoiTrul7Luz57Fp38YKd7m3O9zk1ye5KPJnl2v4B9K0RVdSNwY5KnA+cB1yR5iE7FaBOwCTgF+CRwbr/2GtuAs4Ebkmypqg81s89WA4voPJY7vaoeHrA9SZI0ZDW6vcweqqplM/j6jwN/XlVbk/ws8AHgh/b2BQNPu2+Sk5XAyiSn0an4AFwCrEnybmDtNNp7PMlZwKeSbAHWA++sqlsGbUOSJE2c+4Duis/Rzblv6ymorAZ+r1+j+7QOUXfSUlU30cw467lmRc/77nWHljbnHgFO7TrfXQKTJElzRAFTNe5eAHAr8Lwkz6GTCL0B+InuC5I8s6rub96+Gvhyv0bdukOSJO03qmp7krcBNwDzgSuq6ktJ3gWsq6prgQuTvJrOOOevAuf3a9eESJIk7Veq6nrg+p5zF3UdvwN4x3TaNCGSJEn9VdgxukHVI+fmrpIkaeJZIZIkSX0VDLStxv7KCpEkSZp4VogkSdJAam5s3TEUVogkSdLEs0IkSZL6K5iaGncnhscKkSRJmnhWiCRJUl/OMpMkSWo5K0SSJKm/wpWqJUmS2swKkSRJ6quIY4gkSZLazAqRJEkaSLkOkSRJUnuZEEmSpInnIzNJktRfwQ43d5UkSWqvkVeIkiwGPlFVS0cdW5Ik7Ru37tiNJAuSHDqbHUlyaJIDZ7NNSZKkQUwrIUqyJMl7gDuB45tzm5Isao6XJVnbHK9IckWStUk2JrlwN+0dl2R9klOb9u5KcmmSJTO8L0mSNMumpkbzGoe+CVFTuXlzkpuBy4ENwMlVtX6A9k8EXgGcBlzcXQFKcgLwMeD8qrq1ae9k4A5gdZKbm7izWomSJEnqNcgYovuB24ELquqOabZ/XVVtBbYmeQA4qjl/JHANcE5Vbdh5cVU9BqymkxAtAdYAK4HDextOshxYDrBw4THT7JYkSZqWgprwMUSvBe4DrkpyUZJjez7f3tXOwT2fbe063sGuBOxR4B7gjN5gSRYnuRi4GtjcxP8OVbWqqpZV1bIFBy0a4DYkSZJ2r2+FqKpuBG5M8nTgPOCaJA/RqRhtAjYBpwCfBM4dMO424GzghiRbqupDzeyz1cAi4Erg9Kp6eFp3I0mShqLts8wGnnbfJCcrgZVJTqNT8QG4BFiT5N3A2mm093iSs4BPJdkCrAfeWVW3DNqGJEnSbNindYi6k5aquolmxlnPNSt63nevO7S0OfcIcGrX+c370h9JkjRkBTvc3FWSJKm93MtMkiT1VaTVY4isEEmSpIlnhUiSJPVXUDusEEmSJLWWCZEkSZp4PjKTJEl9FU67lyRJajUrRJIkaSBOu5ckSWoxK0SSJKm/ginHEEmSJLWXFSJJkjSQjGgMUY0kypNZIZIkSRPPCpEkSeqvYP6Itu7YPpIoT2aFSJIkTTwrRJIkqa8A85xlJkmS1F5WiCRJUn8V5rlStSRJUntZIZIkSQPJjnH3YHhGXiFKsjjJF0cdV5IkaU/2KSFKsiDJobPZkSSHJjlwNtuUJEkaxLQSoiRLkrwHuBM4vjm3Kcmi5nhZkrXN8YokVyRZm2Rjkgt3095xSdYnObVp764klyZZMsP7kiRJsygF86cyktc49E2ImsrNm5PcDFwObABOrqr1A7R/IvAK4DTg4u4KUJITgI8B51fVrU17JwN3AKuT3NzE3W0lKsnyJOuSrNu29aEBuiJJkrR7gwyqvh+4Hbigqu6YZvvXVdVWYGuSB4CjmvNHAtcA51TVhp0XV9VjwGo6CdESYA2wEji8t+GqWgWsAjjiqaeMYx84SZImyqQvzPha4D7gqiQXJTm25/PtXe0c3PPZ1q7jHexKwB4F7gHO6A3WDLq+GLga2NzElyRJGpq+FaKquhG4McnTgfOAa5I8RKditAnYBJwCfBI4d8C424CzgRuSbKmqDyVZTKc6tAi4Eji9qh6e1t1IkqShSMG8EW3uOg4Dr0PUJCcrgZVJTqNT8QG4BFiT5N3A2mm093iSs4BPJdkCrAfeWVW3DNqGJEnSbNinhRm7k5aquolmxlnPNSt63i/teru0OfcIcGrX+c370h9JkjR8cesOSZKk9nLrDkmS1FcK5rt1hyRJUntZIZIkSQMI8xxDJEmS1F4mRJIkqb+CeTtG8+onyZlJ7kxyd5K37+W6c5NUkmX92jQhkiRJ+40k84HLgFcCJwFvTHLSbq47DPgl4J8GadeESJIk9RU66xCN4tXHacDdVbWxqrYBHwZes5vr3g38LvDEIPdnQiRJkvYnz+LJCznf25z7tiQvBJ5dVdcN2qizzCRJ0lyzKMm6rverqmrVIF+YZB7wB8D50wloQiRJkvob7cKMD1XVngZC3wc8u+v90c25nQ6js0XY2iQAzwCuTfLqqupOsp7ER2aSJGl/civwvCTPSbIAeANw7c4Pq+rRqlpUVYurajHwj8BekyGwQiRJkgYQYN7UuHsBVbU9yduAG4D5wBVV9aUk7wLWVdW1e29h90yIJEnSfqWqrgeu7zl30R6ufdkgbZoQSZKk/grm7XDrDkmSpNayQiRJkgaSOTCGaFisEEmSpIlnhUiSJPWVgvmOIZIkSWovK0SSJGkg80a3UvXIjbxClGRxki+OOq4kSdKe7FOFqFkq+8Cqeny2OpLkUGBbVX1rttqUJEmzIwXzphxDBECSJUneA9wJHN+c25RkUXO8LMna5nhFkiuSrE2yMcmFu2nvuCTrk5zatHdXkkuTLJnhfUmSJA2sb4Woqdy8DnhLc+pKYEVVPTZA+ycCP0hn59k7k7yvq90TgA8D51fV55tzJwOvB1YnKWAN8JHdVaKSLAeWAyxceMwAXZEkSTORFo8hGuSR2f3A7cAFVXXHNNu/rqq2AluTPAAc1Zw/ErgGOKeqNuy8uEmyVtNJiJbQSYhWAof3NlxVq4BVAEc89ZSaZr8kSZK+bZBHZq8F7gOuSnJRkmN7Pt/e1c7BPZ9t7Trewa4E7FHgHuCM3mDNoOuLgauBzU18SZI0ThXm7xjNaxz6JkRVdWNVvR54CZ1E5pokn06yuLlkE3BKc3zugHG3AWcDb0ryE/DtROjTwF8CjwCnV9Xrq+rGAduUJEnaJwPPMquqh+k8vlqZ5DQ6FR+AS4A1Sd4NrJ1Ge48nOQv4VJItwHrgnVV1y6BtSJIkzYZ9mnbfnbRU1U00M856rlnR835p19ulzblHgFO7zm/el/5IkqThSrkwoyRJUqu5dYckSRrIvKlx92B4rBBJkqSJZ4VIkiT1V5AxTYkfBStEkiRp4lkhkiRJfQWY7ywzSZKk9rJCJEmS+nMdIkmSpHazQiRJkvoKMM9ZZpIkSe1lhUiSJPVXEFeqliRJai8rRJIkqS/XIZIkSWo5EyJJkjTxfGQmSZL6K6fdS5IktZoVIkmS1J9bd0iSJLXbyCtESRYDn6iqpaOOLUmS9k1n645x92J49qlClGRBkkNnsyNJDk1y4Gy2KUmSNIhpJURJliR5D3AncHxzblOSRc3xsiRrm+MVSa5IsjbJxiQX7qa945KsT3Jq095dSS5NsmSG9yVJkmZTM8tsFK9x6JsQNZWbNye5Gbgc2ACcXFXrB2j/ROAVwGnAxd0VoCQnAB8Dzq+qW5v2TgbuAFYnubmJO6uVKEmSpF6DjCG6H7gduKCq7phm+9dV1VZga5IHgKOa80cC1wDnVNWGnRdX1WPAajoJ0RJgDbASOLy34STLgeUACxceM81uSZKk6XAMEbwWuA+4KslFSY7t+Xx7VzsH93y2tet4B7sSsEeBe4AzeoMlWZzkYuBqYHMT/ztU1aqqWlZVyxYctGiA25AkSdq9vhWiqroRuDHJ04HzgGuSPESnYrQJ2AScAnwSOHfAuNuAs4Ebkmypqg81s89WA4uAK4HTq+rhad2NJEkajpavQzTwtPsmOVkJrExyGp2KD8AlwJok7wbWTqO9x5OcBXwqyRZgPfDOqrpl0DYkSZJmwz6tQ9SdtFTVTTQzznquWdHzvnvdoaXNuUeAU7vOb96X/kiSpCFreYXIlaolSdLEcy8zSZLUVxjfGkGjYIVIkiRNPBMiSZI08XxkJkmS+nNQtSRJUrtZIZIkSX3FCpEkSVK7WSGSJEkDsUIkSZLUYqmqcfdhxpI8CHxl3P2QJGmEjq2qI0cV7GmHL6sfftFothv96Kfn31ZVy0YSrNGKR2aj/IaQJEnt04qESJIkDZ9jiCRJklrMCpEkSerPdYgkSZLazQqRJEnqy5WqJUmSWs4KkSRJGogVIkmSpDkiyZlJ7kxyd5K37+bzn0vyhSSfS3JzkpP6tWlCJEmS9htJ5gOXAa8ETgLeuJuE50NV9X1V9QLg94A/6Neuj8wkSVJfnUHVGXc3AE4D7q6qjQBJPgy8Btiw84Kq+nrX9YcCffcpMyGSJElzzaIk67rer6qqVc3xs4DNXZ/dC7yot4EkvwD8MrAA+KF+AU2IJEn6/9u7Y9yooSgKoPeFLVBCQZGdUCDRUKI0bCASG0AU7CEtNTVFBGuAlip1ukgsgJEeBSlGSPCN0GQc/3OqsWXZLq+u35/PInc4VH3zv5u7dvdFkouqOkvyJsmrv11vhggAuE+ukzzeO350e+5PPiR5MbqphggAGFvPHzN+SXJaVU/yKwi9THK2f0FVnXb31e3h8yRXGRCIAIB7o7t3VXWe5HOSB0ned/e3qnqX5Gt3f0xyXlVPk/xI8j2Dz2WJQAQALLCmrTu6+zLJ5W/n3u79fv2v9zRDBABMT0MEACyyloboEDREAMD0NEQAwNCaZogOQUMEAExPQwQAjHVysjv2SxyOhggAmJ6GCABYZCW73R+EhggAmJ5ABABMzyczAGDIsnsAgI3TEAEAi2iIAAA2TEMEAAyZIQIA2DgNEQAwpiECANg2DREAsIiGCABgwzREAMCQVWYAABunIQIAxjo52R37JQ5HQwQATE9DBAAMVcwQAQBsmkAEAEzPJzMAYMyyewCAbdMQAQCLbLkhqu4+9jsAACtXVZ+SPLyjx91097M7elYSgQgAwAwRAIBABABMTyACAKYnEAEA0xOIAIDpCUQAwPQEIgBgegIRADA9gQgAmN5P6erZm1ibE6MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Press any key to continue...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get initial inputs to model\n",
    "for example, (features, label) in zip(hulo_examples, hulo_dataset):\n",
    "    \n",
    "    # Reshape data to work with blocks\n",
    "    features = features.unsqueeze(0)\n",
    "    label = label.unsqueeze(0)\n",
    "    \n",
    "    # Get features for each question\n",
    "    x0_0 = features[:, 0, :, :].unsqueeze(1)\n",
    "    x1_0 = features[:, 1, :, :].unsqueeze(1)\n",
    "    x0_0 = x0_0.cuda() if USE_CUDA else x0_0\n",
    "    x1_0 = x1_0.cuda() if USE_CUDA else x1_0\n",
    "    \n",
    "    # Initial attention distribution\n",
    "    A_0 = compute_attention_matrix(x0_0, x1_0, euclidean)\n",
    "    A_0 = A_0.squeeze().cpu().numpy()\n",
    "    generate_heat_map(A_0, example[1], example[0])\n",
    "    _ = input(\"Press any key to continue...\")\n",
    "    \n",
    "    # Attention distribution after first block\n",
    "    x0_1, x1_1, a0_1, a1_1 = block_1(x0_0, x1_0)\n",
    "    A_1 = compute_attention_matrix(x0_1, x1_1, euclidean)\n",
    "    A_1 = A_1.squeeze().detach().cpu().numpy()\n",
    "    generate_heat_map(A_1, example[1], example[0])\n",
    "    _ = input(\"Press any key to continue...\")\n",
    "\n",
    "    x0_2, x1_2, a0_2, a1_2 = block_2(x0_1, x1_1)\n",
    "    A_2 = compute_attention_matrix(x0_2, x1_2, euclidean)\n",
    "    A_2 = A_2.squeeze().detach().cpu().numpy()\n",
    "    generate_heat_map(A_2, example[1], example[0])\n",
    "    _ = input(\"Press any key to continue...\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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